In 1968 the 531 went via SFO HNL - I know cos I flew it on one occasion, I don't think at that time we even served LAX - that didn't happen until the 531 rerouted through LAX.
I seem to recall that the 436 to LAX went through YUL most of the time.
The tech stop if required on the HNL-HND was normally Wake Island from what I Understood from others who did it. Never did it that way only HND-HNL as part of a 9 day RTW.